An old new class of meromorphic functions

DOI10.1007/S11854-018-0020-4zbMath1409.34079arXiv1601.04032OpenAlexW2962711658WikidataQ130188818 ScholiaQ130188818MaRDI QIDQ1790631

Norbert Steinmetz

Publication date: 2 October 2018

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.04032

zbMATH Keywords

rescalingHamiltonian systemgrowth orderNevanlinna deficiencyfourth Painlevé transcendents

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10)

Related Items (5)

Regularising transformations for complex differential equations with movable algebraic singularities ⋮ A cubic Hamiltonian system with meromorphic solutions ⋮ On Hamiltonian structures of quasi-Painlevé equations ⋮ Space of initial conditions for a cubic Hamiltonian system ⋮ Malmquist-type theorems for cubic Hamiltonians

Cites Work

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• A cubic Hamiltonian system with meromorphic solutions
• Polynomial Hamiltonian systems with movable algebraic singularities
• The Yosida class is universal
• Value distribution of the Painlevé transcendents
• Zur Wertverteilung der Lösungen der vierten Painleveschen Differentialgleichung
• Painlevé differential equations in the complex plane
• Growth of the first, the second and the fourth Painlevé transcendents
• Complex Riccati differential equations revisited

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